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arXiv · 1011.5182

Correlation induced non-Abelian quantum holonomies

Markus Johansson·Marie Ericsson·Kuldip Singh·Erik Sjöqvist·Mark S. Williamson
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Abstract

In the context of two-particle interferometry, we construct a parallel transport condition that is based on the maximization of coincidence intensity with respect to local unitary operations on one of the subsystems. The dependence on correlation is investigated and it is found that the holonomy group is generally non-Abelian, but Abelian for uncorrelated systems. It is found that our framework contains the L\'{e}vay geometric phase [2004 {\it J. Phys. A: Math. Gen.} {\bf 37} 1821] in the case of two-qubit systems undergoing local SU(2) evolutions.

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Markus Johansson, Marie Ericsson, Kuldip Singh, Erik Sjöqvist, Mark S. Williamson. 2010-11-23. Correlation induced non-Abelian quantum holonomies. https://doi.org/10.1088/1751-8113/44/14/145301

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